Dependent Lindeberg central limit theorem and some applications

In this paper, a very useful lemma (in two versions) is proved: it simplifies notably the essential step to establish a Lindeberg central limit theorem for dependent processes. Then, applying this lemma to weakly dependent processes introduced in Doukhan and Louhichi (1999), a new central limit theorem is obtained for sample mean or kernel density estimator. Moreover, by using the subsampling, extensions under weaker assumptions of these central limit theorems are provided. All the usual causal or non causal time series: Gaussian, associated, linear, ARCH($\infty$), bilinear, Volterra processes,$...$, enter this frame

Quasiparticles and phonon satellites in spectral functions of semiconductors and insulators: Cumulants applied to full first principles theory and Fr\"ohlich polaron

The electron-phonon interaction causes thermal and zero-point motion shifts of electron quasiparticle (QP) energies $\epsilon_k(T)$. Other consequences of interactions, visible in angle-resolved photoemission spectroscopy (ARPES) experiments, are broadening of QP peaks and appearance of sidebands, contained in the electron spectral function $A(k,\omega)=-{\Im m}G_R(k,\omega) /\pi$, where $G_R$ is the retarded Green's function. Electronic structure codes (e.g. using density-functional theory) are now available that compute the shifts and start to address broadening and sidebands. Here we consider MgO and LiF, and determine their nonadiabatic Migdal self energy. The spectral function obtained from the Dyson equation makes errors in the weight and energy of the QP peak and the position and weight of the phonon-induced sidebands. Only one phonon satellite appears, with an unphysically large energy difference (larger than the highest phonon energy) with respect to the QP peak. By contrast, the spectral function from a cumulant treatment of the same self energy is physically better, giving a quite accurate QP energy and several satellites approximately spaced by the LO phonon energy. In particular, the positions of the QP peak and first satellite agree closely with those found for the Fr\"ohlich Hamiltonian by Mishchenko $\textit{et al.}$ (2000) using diagrammatic Monte Carlo. We provide a detailed comparison between the first-principles MgO and LiF results and those of the Fr\"ohlich Hamiltonian. Such an analysis applies widely to materials with infra-red active phonons. We also compare the retarded and time-ordered cumulant treatments: they are equivalent for the Fr\"ohlich Hamiltonian, and only slightly differ in first-principles electron-phonon results for wide-band gap materials.Comment: 21 pages, 19 figure

Noisy Qudit vs Multiple Qubits : Conditions on Gate Efficiency

As qubit-based platforms face near-term technical challenges in terms of scalability, qudits, $d$-level quantum bases of information, are being implemented in multiple platforms as an alternative for Quantum Information Processing (QIP). It is, therefore, crucial to study their efficiencies for QIP compared to more traditional qubit platforms, specifically since each additional quantum level represents an additional source of environmental coupling. We present a comparative study of the infidelity scalings of a qudit and $n$-qubit systems, both with identical Hilbert space dimensions and noisy environments. The first-order response of the Average Gate Infidelity (AGI) to the noise in the Lindblad formalism, which was found to be gate-independent, was calculated analytically in the two systems being compared. This yielded a critical curve $(d^2-1)/3\log_2(d)$ of the ratio of their respective figure of merits, defined as the gate time in units of decoherence time. This quantity indicates how time-efficient operations on these systems are relative to decoherence timescales, and the critical curve is especially useful for precisely benchmarking qudit platforms with smaller values of $d$. The curve delineates regions where each system has a higher rate of increase of the AGI than the other. This condition on gate efficiency was applied to different existing platforms. Specific qudit platforms were found to possess gate efficiencies competitive with state-of-the-art qubit platforms. Numerical simulations complemented this work and allowed for discussion of the applicability and limits of the linear response formalism

Fe-Mg M1 site distribution in some clinopyroxenes from Santa Olalla (Huelva, Spain)

The crystal structures of two clinopyroxenes related to the skarns from Santa Olalla (Huelva. Spain) have been refined. From these refinements it is shown that pyroxene SO-1 of metamorphic origin is almost pure diopside. whereas for pyroxene SO-2 of metasomatic origin the following formula CaMg 0.64 Fe 0,34 Si2 O6. was found. These clinopyroxenes show cation ordering

Narrow band selected high redshift galaxy candidates contaminated by lower redshift O[III] ultrastrong emitter line galaxies

Context. Lyman Break Galaxies (LBG) and Narrow Band (NB) surveys have been successful at detecting large samples of high-redshift galaxies. Both methods are subject to contamination from low-redshift interlopers. Aims. In this paper, our aim is to investigate the nature of low-redshift interlopers in NB Lyman-$\alpha$ emitters (LAE) searches. Methods. From previous HAWK-I NB imaging at z $\sim$7.7 we identify three objects that would have been selected as high-redshift LAEs had our optical data been one magnitude shallower (but still one to two magnitudes fainter than the near infrared data). We follow-up these objects in spectroscopy with XSHOOTER at the VLT. Results. Despite low quality data due to bad weather conditions, for each of the three objects we identify one, and only one emission line, in the spectra of the objects, that we identify as the O[III]5007A line. This result combined to spectral energy density fitting and tests based on line ratios of several populations of galaxies we infer that the 3 objects are ultrastrong line emitters at redshifts $\sim$1.1. Conclusions. From this work and the literature we remark that the O[III] line appears to be a common source of contamination in high-redshift LBG and LAE samples and we suggest that efforts be put to characterize with high accuracy the O[III] luminosity function out to redshift $\sim$3 or higher.Comment: 7 pages, 4 figures, accepted by A&

Essai et simulation du comportement d'une structure sandwich entaillée jusqu'à rupture

International audienceUn nouvel essai sur une éprouvette sandwich entaillée de grande dimension et soumise à un chargement statique de flexion/torsion est proposé. L'éprouvette entaillée, constitué de plis tissés en verre/époxy et de mousse, ressemble à une pièce représentative d’une structure aéronautique présentant une fissure. L'objectif de l'essai est de générer l'initiation et la propagation stable d'une fissure au bord de l'entaille dans le cas d'un chargement complexe caractéristique d'une structure réelle. Cet essai est suivi par un système de corrélation d'image numérique 3D. Le résultat de l'essai est utilisé pour démontrer la validité d'un modèle basé sur la mécanique de l'endommagement et un critère non local. La très bonne corrélation entre la simulation et l'expérience au niveau des champs et de l'effort à rupture montre l’efficience de la méthode proposée

Fe-dolomite(teruelite) from the Keuper of the southern sector of the Iberian Mountain Range, Spain

En la parte meridional del Keuper de la Cordillera Ibérica una variedad de dolomita ferrosa es de interés como curiosidad mineralogica (teruelita). Los analisis quimicos y el estudio cristalografico por medio de las tecnicas de difraccion de rayos X de monocristales confirman que se trata de una variedad de la dolomita y no de la ankerita. Solo ligeras diferencias morfologicas han sido apreciadas entre dolomita y temelita. Asi, la teruelita cristaliza en la forma(4041) mientras que la dolomita cristaliza preferentemente en la forma (l0l 1)

Numerical simulation of thin paint film flow

International audienceBeing able to predict the visual appearance of a painted steel sheet, given its topography before paint application, is of crucial importance for car makers. Accurate modeling of the industrial painting process is required. The equations describing the leveling of the paint are complex and their numerical simulation requires advanced mathematical tools, which are described in detail in this paper. Simulations are validated using a large experimental database obtained with a wavefront sensor developed by PhasicsTM

Prevalence of anginal symptoms and myocardial ischemia and their effect on clinical outcomes in outpatients with stable coronary artery disease: data from the international observational CLARIFY registry

Importance: In the era of widespread revascularization and effective antianginals, the prevalence and prognostic effect of anginal symptoms and myocardial ischemia among patients with stable coronary artery disease (CAD) are unknown.<p></p> Objective: To describe the current clinical patterns among patients with stable CAD and the association of anginal symptoms or myocardial ischemia with clinical outcomes.<p></p> Design, Setting, and Participants: The Prospective Observational Longitudinal Registry of Patients With Stable Coronary Artery Disease (CLARIFY) registry enrolled outpatients in 45 countries with stable CAD in 2009 to 2010 with 2-year follow-up (median, 24.1 months; range, 1 day to 3 years). Enrollees included 32 105 outpatients with prior myocardial infarction, chest pain, and evidence of myocardial ischemia, evidence of CAD on angiography, or prior revascularization. Of these, 20 291 (63.2%) had undergone a noninvasive test for myocardial ischemia within 12 months of enrollment and were categorized into one of the following 4 groups: no angina or ischemia (n = 13 207 [65.1%]); evidence of myocardial ischemia without angina (silent ischemia) (n = 3028 [14.9%]); anginal symptoms alone (n = 1842 [9.1%]); and angina and ischemia (n = 2214 [10.9%]).<p></p> Exposures: Stable CAD.<p></p> Main Outcome and Measure: The composite of cardiovascular (CV)–related death or nonfatal myocardial infarction.<p></p> Results: Overall, 4056 patients (20.0%) had anginal symptoms and 5242 (25.8%) had evidence of myocardial ischemia on results of noninvasive testing. Of 469 CV-related deaths or myocardial infarctions, 58.2% occurred in patients without angina or ischemia, 12.4% in patients with ischemia alone, 12.2% in patients with angina alone, and 17.3% in patients with both. The hazard ratios for the primary outcome relative to patients without angina or ischemia and adjusted for age, sex, geographic region, smoking status, hypertension, diabetes mellitus, and dyslipidemia were 0.90 (95% CI, 0.68-1.20; P = .47) for ischemia alone, 1.45 (95% CI, 1.08-1.95; P = .01) for angina alone, and 1.75 (95% CI, 1.34-2.29; P <.001) for both. Similar findings were observed for CV-related death and for fatal or nonfatal myocardial infarction.<p></p> Conclusions and Relevance: In outpatients with stable CAD, anginal symptoms (with or without ischemia on noninvasive testing) but not silent ischemia appear to be associated with an increased risk for adverse CV outcomes. Most CV events occurred in patients without angina or ischemia